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Conformal Mappings in Relativistic Astrophysics [PDF]
Journal of Applied Mathematics, 2013 We describe the use of conformal mappings as a mathematical mechanism to obtain exact solutions of the Einstein field equations in general relativity. The behaviour of the spacetime geometry quantities is given under a conformal transformation, and the Einstein field equations are exhibited for a perfect fluid distribution matter configuration.
S. Hansraj, K. S. Govinder, N. Mewalal
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The Moebius geometry of Wintgen ideal submanifolds [PDF]
, 2014 Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the scalar normal curvature. They are Moebius invariant objects.
Ma, Xiang, Xie, Zhenxiao
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Some results and examples of the biharmonic maps with potential
Arab Journal of Mathematical Sciences, 2018 In this paper, we will study the class of biharmonic maps with potential, in the particular case represented by conformal maps between equidimensional manifolds. Some examples are constructed in particular cases (Euclidean space and sphere).
Abdelkader Zagane, Seddik Ouakkas
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Scalar Invariants of surfaces in conformal 3-sphere via Minkowski spacetime
, 2016 For a surface in 3-sphere, by identifying the conformal round 3-sphere as the projectivized positive light cone in Minkowski 5-spacetime, we use the conformal Gauss map and the conformal transform to construct the associate homogeneous 4-surface in ...
Qing, Jie +2 more
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Conformal measures for meromorphic maps [PDF]
Annales Academiae Scientiarum Fennicae Mathematica, 2018 In this paper we study the relation between the existence of a conformal measure on the Julia set $J(f)$ of a transcendental meromorphic map $f$ and the existence of zero of the topological pressure function $t \mapsto P(f, t)$ for the map $f$. In particular, we show that if $f$ is hyperbolic and there exists a $t$-conformal measure which is not ...
Krzysztof Barański +2 more
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A Formula of Packing Pressure of a Factor Map
Entropy, 2017 In this paper, using the notion of packing pressure, we show a formula of packing pressure of a factor map. We also give an application in conformal repellers.
Cao Zhao +3 more
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Selecting Map Projections in Minimizing Area Distortions in GIS Applications
Sensors, 2008 Varioussoftware for Geographical Information Systems (GISs) have been developed and used in many different engineering projects. In GIS applications, map coverage is important in terms of performing reliable and meaningful queries. Map projections can be
Ahmet Kaya, Faruk Yildirim
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Celestial diamonds: conformal multiplets in celestial CFT
Journal of High Energy Physics, 2021 We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0 1 2 1 3 2 2 $$ \left\{0,\frac{1}{2},1,\frac{3}{2},2\right\} $$ we classify and construct all SL(2,ℂ) primary ...
Sabrina Pasterski +2 more
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Dipole-magnet field models based on a conformal map
Physical Review Special Topics. Accelerators and Beams, 2012 In general, generation of charged-particle transfer maps for conventional iron-pole-piece dipole magnets to third and higher order requires a model for the midplane field profile and its transverse derivatives (soft-edge model) to high order and ...
P. L. Walstrom
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Conformal Mapping with as Uniform as Possible Conformal Factor [PDF]
SIAM Journal on Imaging Sciences, 2013 According to the uniformization theorem, any surface can be conformally mapped into a domain of a constant Gaussian curvature. The conformal factor indicates the local scaling introduced by such a mapping. This process could be used to compute geometric quantities in a simplified flat domain with zero Gaussian curvature. For example, the computation of
Michael Zibulevsky +2 more
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